x² + x – 6 lim - x→-3 x² – 9 -

Q: 4. lim xy (xy)-(0.0) v2-e-1

A: To evaluate limx,y→0,0xy2-exy-1 Substitute t=xy, then as x,y tends to 0,0 implies t tends to 0.…

Q: [x2+3x-1 a. lim 1 6 b. lim X+2 Lx-2 x2+2x-8 E. lim - h-0 h x+h Vx+h-Vx d. lim x >0 h-0 h

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 2x*-3x+2x2-x+1 lim -6x-x2+x+2 1 3 O O

A:

Q: arctan(kx) e2x – 1 lim \k=1

A:

Q: arctan(kx) e2x – 1 lim k=1

A: To evaluate, limx→0∑k=18arctankxe2x-1 Then, the above expression can be re-written as,…

Q: x' +4 a. lim X-4 x-2 %3D x² -1 b. lim- xl x' -1 Vx - Ja lim- с. х —а

A: topic - limits

Q: с — 2 а. x→0 x5 – 43 х — 2 lim- b. lim x→2 x5 - 4x3 х — 2 С. lim x→-2 x5 4x3

A: a) limx→0x-2x5-4x3 Left Hand limit- The function decreases without bound. so, limx→0-x-2x5-4x3=-∞

Q: -5x° + x* + 2 – 5x° + x* (a) lim 3x +4x' +1 6. 1/3 X. - (b) lim x>1 x² - 1

A:

Q: Evaluate

A: To evaluate limx→0 e2x-1xSubstituting x=0 , 00 form is obtained Hence , L' Hospital's rule can be…

Q: Find the limits

A:

Q: х3-x2-5х-3 (х+1)* (iii) lim x-1

A:

Q: Vx-2 11. lim- x→4 4-x 1 12. lim 1 3 13. lim x-→2-x-2 x² –4 x-1 14. lim |2x – x² –1

A: According to bartleby rule I answered first 4 questions

Q: Find the limits in Exercise

A: The limit x→a+ implies x  approaches a from the right. The limit x→a- implies x  approaches a from…

Q: 15. lim 0 x-2 |x-2 16. lim x-2 17. lim -2r+1

A: 15- Given- limx→0x-2x-2 To Solve- The above expression.

Q: 1. lim (x2 - 2x - 3) x-5 2. lim () x-2 x-7, 3. lim (Vx + 15 ) x-10

A: Functions are given, we have to find its limits Note: we are answered with 3 part only. please…

Q: lim x-4y (x,y)- (0,0) 6y+7x .A does not exist.

A: To calculate the given limit: limx,y→0,0x−4y6y+7x

Q: x2-1 lim x-1 Vx-1

A: The given limit is limx→1x2-1x3-1

Q: 3. lim Vx+3x + 6 X-2 -1.9 -2.1 -2.01 -2.001 -2 -1.999 -1.99 fx) . lim X--2 x+3x + 6 =

A:

Q: x²+x-2 1. lim X-o 4x-1

A:

Q: -xy س3: أحسب lim (x,y)→(0,0) x²+y² إضافة ملف

A: See the attachment

Q: 2-x x+²√√x+2-√√3x-2 c) lim-

A:

Q: 2x lim(x,y)→(0,0) x² + x + y²

A:

Q: 5. lim -0.01 -0.001 -0.0001 0.0001 0.001 0.01 f(x) x-4 : lim x0x2 - 16 Mel

A: To complete the table and make the graph

Q: Find the limits

A: To evaluate the limit: lim1x2-4 (a). When x→2+. Evaluating the limit. limx→2+1x2-4=12+2-4=10+=∞…

Q: (2) (6) xy-y-2x+2 lim (x,y) (1.1) x-1 2x-y-2 lim (xy)-(20) 2x-y-4 lim (x.y.x)-(3,4.1) (xyz) ¹√√x² +…

A:

Q: 6 lim | 3 x² – 32 X+3 X - Enter I for oo, -I for -00, and DNE if the limit does not exist. Limit =

A: We shall find left hand limit first if it doesn't exist then limit not exist, if exist and finite…

Q: 2n j3 lim - 24n n00 j=1

A:

Q: x³ – x² – 5x – 2 lim - (x + 1)² X→-1

A:

Q: 1 Find lim 3 s-2- \s-2 s²–4,

A: Given, Evaluate lims→2-1s-2-3s2-4

Q: eim 2メー5 メ4 -2 z lim Vx+4-1-x-2 メ→ メ+3 lim 2-X Z-メ 24メ

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: ху — 2х — у +2 lim (K. y)-(1,2) X* + y² – 2x – 4y + 5

A: Let  S  be an open set containing  (x0,y0) , and let  f  be a function of two variables defined on…

Q: 3x-7 lim zー8 Sx +1

A: limx→∞3x-75x+1

Q: .2 lim (x,y)→(0,0) x² + y²

A: Consider the given: limx,y→0,0x2x2+y2Let y=mx

Q: 1-Vx-6 lim X-7

A:

Q: x² – 4x lim +-1 г2 — 3х — 4 I-1 x

A: Limit does not exist Explanation is given below...

Q: -xy اس3: أحسب lim (x,y)→(0,0) x²+y2

A:

Q: 10 a. lim 3-2 2x+1 b. lim Z x-3

A: Given 1.      lim x→3 10x-22.       lim x→2 2x-1x-3 To find - the value of the given limits

Q: Find: lim→1+i z2 –z+1-i i z2-2z+2

A:

Q: 8- 6- y = h(x) y = h(x) -4 -3 2 -2- 2. lim, h(x): 3. lim,→2- h(x): 4. lim,-2+ h(x): 5. limy-2 h(x):…

A: Find the following value from the graph:

Q: 1 1 11. lim -1-T+1 (x+1)² + 3]

A: Given limx→1-1x+1-1x+12+3 we need to evaluate the limit Substituting x as 1 11+1-11+12+3

Q: 1 1 +x+1 h 4 (a) Lim (b) Lim h-0 V5h + 4 –- 2 5 t3 – 1 (c) Lim- = 3. t-1 t- 1 II

A:

Q: 1 lim - 1)dt x→1|1 [1 – x

A: We have to find the limit of the complex expression involving integration . first we have to find…

Q: 1 + (a) Lim X-1 'x+1, -2

A:

Q: 3. Find lim (1 – 2x)/x x -0

A: Explanation of the solution is given below.

Q: lim (2a +x) X-

A: We find the limit by substitution

Q: 1 4. lim 2t-1 t-

A: Note:- We will answer the 4th question since we answer only one question at a time. Please submit a…

Q: 1 + x +1 1 h 4 -2 (a) Lim–1 (b) Lim h→0 V5h + 4 – 2 X-0 X 5 t3 – 1 (c) Lim- = 3. t→1 t-1

A: (a) We take L.C.M. in the numerator and cancel the common terms in numerator and denominator. Then…

Q: 2 – 1 | lim X→-1 elx+1)² – 1 | - 1

A: When limit is of the form 00 or ∞∞, then L'Hospital rule is used.In this rule, take the derivative…

Q: 2* – 1 x→0 V1 +x – 1 lim Evaluate

A: